TSTP Solution File: PUZ028-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wyvDQMfB64 true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:30:41 EDT 2023
% Result : Unsatisfiable 14.02s 2.62s
% Output : Refutation 14.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wyvDQMfB64 true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:40:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 14.02/2.62 % Solved by fo/fo7.sh.
% 14.02/2.62 % done 2972 iterations in 1.815s
% 14.02/2.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.02/2.62 % SZS output start Refutation
% 14.02/2.62 thf(n1_type, type, n1: $i).
% 14.02/2.62 thf(n3_type, type, n3: $i).
% 14.02/2.62 thf(not_equal_type, type, not_equal: $i > $i > $o).
% 14.02/2.62 thf(person_type, type, person: $i > $o).
% 14.02/2.62 thf(n2_type, type, n2: $i).
% 14.02/2.62 thf(not_familiar_type, type, not_familiar: $i > $i > $o).
% 14.02/2.62 thf(familiar_type, type, familiar: $i > $i > $o).
% 14.02/2.62 thf(n4_type, type, n4: $i).
% 14.02/2.62 thf(n5_type, type, n5: $i).
% 14.02/2.62 thf(n6_type, type, n6: $i).
% 14.02/2.62 thf(familiar_or_not, axiom,
% 14.02/2.62 (( familiar @ X @ Y ) | ( not_familiar @ X @ Y ) | ( ~( person @ X ) ) |
% 14.02/2.62 ( ~( person @ Y ) ) | ( ~( not_equal @ X @ Y ) ))).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(symmetry_of_not_familiar, axiom,
% 14.02/2.62 (( ~( not_familiar @ X1 @ X2 ) ) | ( not_familiar @ X2 @ X1 ))).
% 14.02/2.62 thf(zip_derived_cl38, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ X1) | (not_familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_not_familiar])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_3_2, axiom, (not_equal @ n3 @ n2)).
% 14.02/2.62 thf(zip_derived_cl17, plain, ( (not_equal @ n3 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_2])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_2_6, axiom, (not_equal @ n2 @ n6)).
% 14.02/2.62 thf(zip_derived_cl15, plain, ( (not_equal @ n2 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_6])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(three_not_familiar, conjecture,
% 14.02/2.62 (~( ( ~( not_familiar @ X3 @ X1 ) ) | ( ~( not_familiar @ X2 @ X3 ) ) |
% 14.02/2.62 ( ~( not_familiar @ X1 @ X2 ) ) ))).
% 14.02/2.62 thf(zf_stmt_0, negated_conjecture,
% 14.02/2.62 (( ~( not_familiar @ X3 @ X1 ) ) | ( ~( not_familiar @ X2 @ X3 ) ) |
% 14.02/2.62 ( ~( not_familiar @ X1 @ X2 ) )),
% 14.02/2.62 inference('cnf.neg', [status(esa)], [three_not_familiar])).
% 14.02/2.62 thf(zip_derived_cl40, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl70, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n6 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl52])).
% 14.02/2.62 thf(person_2, axiom, (person @ n2)).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(person_6, axiom, (person @ n6)).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl100, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n6 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl70, zip_derived_cl1, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl157, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | ~ (not_familiar @ n6 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl100])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl159, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | ~ (not_familiar @ n6 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl3552, plain,
% 14.02/2.62 ((~ (not_familiar @ n6 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl159])).
% 14.02/2.62 thf(person_3, axiom, (person @ n3)).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl3557, plain,
% 14.02/2.62 ((~ (not_familiar @ n6 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl3552, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl3566, plain,
% 14.02/2.62 (( (familiar @ n3 @ n6)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (not_equal @ n3 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl3557])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(not_equal_3_6, axiom, (not_equal @ n3 @ n6)).
% 14.02/2.62 thf(zip_derived_cl20, plain, ( (not_equal @ n3 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_6])).
% 14.02/2.62 thf(zip_derived_cl3568, plain,
% 14.02/2.62 (( (familiar @ n3 @ n6) | (familiar @ n3 @ n2) | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl3566, zip_derived_cl2, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl20])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_6_2, axiom, (not_equal @ n6 @ n2)).
% 14.02/2.62 thf(zip_derived_cl32, plain, ( (not_equal @ n6 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_2])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_2_4, axiom, (not_equal @ n2 @ n4)).
% 14.02/2.62 thf(zip_derived_cl13, plain, ( (not_equal @ n2 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_4])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl68, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(person_4, axiom, (person @ n4)).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl98, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl68, zip_derived_cl1, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl149, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl98])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl151, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl2376, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n2)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl151])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl2381, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl2376, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl2396, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl2381])).
% 14.02/2.62 thf(not_equal_4_6, axiom, (not_equal @ n4 @ n6)).
% 14.02/2.62 thf(zip_derived_cl25, plain, ( (not_equal @ n4 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl2398, plain,
% 14.02/2.62 (( (familiar @ n4 @ n6) | (familiar @ n6 @ n2) | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl2396, zip_derived_cl25, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_1_5, axiom, (not_equal @ n1 @ n5)).
% 14.02/2.62 thf(zip_derived_cl9, plain, ( (not_equal @ n1 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_5])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_1_3, axiom, (not_equal @ n1 @ n3)).
% 14.02/2.62 thf(zip_derived_cl7, plain, ( (not_equal @ n1 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_3])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl62, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl52])).
% 14.02/2.62 thf(person_1, axiom, (person @ n1)).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl92, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl62, zip_derived_cl0, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl126, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n1 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl92])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl128, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n1 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl648, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl128])).
% 14.02/2.62 thf(person_5, axiom, (person @ n5)).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl654, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl665, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl654])).
% 14.02/2.62 thf(not_equal_3_5, axiom, (not_equal @ n3 @ n5)).
% 14.02/2.62 thf(zip_derived_cl19, plain, ( (not_equal @ n3 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl667, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5) | (familiar @ n1 @ n5) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl665, zip_derived_cl19, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_6_1, axiom, (not_equal @ n6 @ n1)).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl92, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl62, zip_derived_cl0, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl125, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl92])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl127, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl573, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl127])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl578, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl594, plain,
% 14.02/2.62 (( (familiar @ n6 @ n3)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (not_equal @ n6 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl578])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(not_equal_6_3, axiom, (not_equal @ n6 @ n3)).
% 14.02/2.62 thf(zip_derived_cl33, plain, ( (not_equal @ n6 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_3])).
% 14.02/2.62 thf(zip_derived_cl596, plain,
% 14.02/2.62 (( (familiar @ n6 @ n3) | (familiar @ n6 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl594, zip_derived_cl5, zip_derived_cl2,
% 14.02/2.62 zip_derived_cl33])).
% 14.02/2.62 thf(three_familiar, conjecture,
% 14.02/2.62 (~( ( ~( familiar @ X3 @ X1 ) ) | ( ~( familiar @ X2 @ X3 ) ) |
% 14.02/2.62 ( ~( familiar @ X1 @ X2 ) ) ))).
% 14.02/2.62 thf(zf_stmt_1, negated_conjecture,
% 14.02/2.62 (( ~( familiar @ X3 @ X1 ) ) | ( ~( familiar @ X2 @ X3 ) ) |
% 14.02/2.62 ( ~( familiar @ X1 @ X2 ) )),
% 14.02/2.62 inference('cnf.neg', [status(esa)], [three_familiar])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl704, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl596, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl765, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl667, zip_derived_cl704])).
% 14.02/2.62 thf(zip_derived_cl770, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl765])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl9, plain, ( (not_equal @ n1 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_5])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl64, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl94, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl64, zip_derived_cl0, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl133, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl94])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl135, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl1318, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl135])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl1323, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl1318, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl1338, plain,
% 14.02/2.62 ((~ (not_equal @ n5 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl1323])).
% 14.02/2.62 thf(not_equal_5_6, axiom, (not_equal @ n5 @ n6)).
% 14.02/2.62 thf(zip_derived_cl30, plain, ( (not_equal @ n5 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl1340, plain,
% 14.02/2.62 (( (familiar @ n5 @ n6) | (familiar @ n6 @ n1) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl1338, zip_derived_cl30, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl11455, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n5) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl770, zip_derived_cl1340])).
% 14.02/2.62 thf(symmetry_of_familiar, axiom,
% 14.02/2.62 (( ~( familiar @ X1 @ X2 ) ) | ( familiar @ X2 @ X1 ))).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl11456, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n3) | (familiar @ n1 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11455, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_2_1, axiom, (not_equal @ n2 @ n1)).
% 14.02/2.62 thf(zip_derived_cl11, plain, ( (not_equal @ n2 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_1])).
% 14.02/2.62 thf(zip_derived_cl127, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl569, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (person @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl127])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl574, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl569, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl579, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n2)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl574])).
% 14.02/2.62 thf(zip_derived_cl17, plain, ( (not_equal @ n3 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_2])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl581, plain,
% 14.02/2.62 (( (familiar @ n3 @ n2) | (familiar @ n2 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl579, zip_derived_cl17, zip_derived_cl1,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_5_1, axiom, (not_equal @ n5 @ n1)).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl127, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl572, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl127])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl577, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl572, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl590, plain,
% 14.02/2.62 (( (familiar @ n5 @ n3)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (not_equal @ n5 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl577])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(not_equal_5_3, axiom, (not_equal @ n5 @ n3)).
% 14.02/2.62 thf(zip_derived_cl28, plain, ( (not_equal @ n5 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_3])).
% 14.02/2.62 thf(zip_derived_cl592, plain,
% 14.02/2.62 (( (familiar @ n5 @ n3) | (familiar @ n5 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl590, zip_derived_cl4, zip_derived_cl2,
% 14.02/2.62 zip_derived_cl28])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl698, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl734, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl698])).
% 14.02/2.62 thf(zip_derived_cl736, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl734])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_2_5, axiom, (not_equal @ n2 @ n5)).
% 14.02/2.62 thf(zip_derived_cl14, plain, ( (not_equal @ n2 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_5])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl11, plain, ( (not_equal @ n2 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_1])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl66, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl96, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl66, zip_derived_cl1, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl142, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n2 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl96])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl144, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n2 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl2108, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl144])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl2114, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n1)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl2108, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl2126, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (not_equal @ n5 @ n1)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl2114])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl2128, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1) | (familiar @ n2 @ n5) | (familiar @ n2 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl2126, zip_derived_cl4, zip_derived_cl0,
% 14.02/2.62 zip_derived_cl26])).
% 14.02/2.62 thf(zip_derived_cl10927, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n2 @ n1) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl736, zip_derived_cl2128])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl10928, plain,
% 14.02/2.62 (( (familiar @ n2 @ n1) | (familiar @ n1 @ n3) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10927, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl11051, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10928, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl11834, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (familiar @ n6 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl11456, zip_derived_cl11051])).
% 14.02/2.62 thf(zip_derived_cl11856, plain,
% 14.02/2.62 ((~ (familiar @ n6 @ n2) | (familiar @ n1 @ n5) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl11834])).
% 14.02/2.62 thf(zip_derived_cl11869, plain,
% 14.02/2.62 (( (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl2398, zip_derived_cl11856])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl28, plain, ( (not_equal @ n5 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_3])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_3_4, axiom, (not_equal @ n3 @ n4)).
% 14.02/2.62 thf(zip_derived_cl18, plain, ( (not_equal @ n3 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_4])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl73, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl103, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl73, zip_derived_cl2, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl169, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n3)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl103])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl171, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n3)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl4317, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n3)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl171])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl4322, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl4317, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl4334, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl4322])).
% 14.02/2.62 thf(not_equal_4_5, axiom, (not_equal @ n4 @ n5)).
% 14.02/2.62 thf(zip_derived_cl24, plain, ( (not_equal @ n4 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl4336, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5) | (familiar @ n5 @ n3) | (familiar @ n3 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl4334, zip_derived_cl24, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl33, plain, ( (not_equal @ n6 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_3])).
% 14.02/2.62 thf(zip_derived_cl171, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n3)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl4318, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n3)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl171])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4323, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl4318, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl4338, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl4323])).
% 14.02/2.62 thf(zip_derived_cl25, plain, ( (not_equal @ n4 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl4340, plain,
% 14.02/2.62 (( (familiar @ n4 @ n6) | (familiar @ n6 @ n3) | (familiar @ n3 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl4338, zip_derived_cl25, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_1_2, axiom, (not_equal @ n1 @ n2)).
% 14.02/2.62 thf(zip_derived_cl6, plain, ( (not_equal @ n1 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_2])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl61, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl91, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl61, zip_derived_cl0, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl121, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl91])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl123, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl424, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl123])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl429, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl424, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl441, plain,
% 14.02/2.62 ((~ (not_equal @ n2 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl429])).
% 14.02/2.62 thf(zip_derived_cl14, plain, ( (not_equal @ n2 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl443, plain,
% 14.02/2.62 (( (familiar @ n2 @ n5) | (familiar @ n5 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl441, zip_derived_cl14, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl457, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n5) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl123, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl425, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl123])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl430, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl425, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl446, plain,
% 14.02/2.62 (( (familiar @ n6 @ n2)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (not_equal @ n6 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl430])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl32, plain, ( (not_equal @ n6 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_2])).
% 14.02/2.62 thf(zip_derived_cl448, plain,
% 14.02/2.62 (( (familiar @ n6 @ n2) | (familiar @ n6 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl446, zip_derived_cl5, zip_derived_cl1,
% 14.02/2.62 zip_derived_cl32])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl464, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl448, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl518, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl464])).
% 14.02/2.62 thf(zip_derived_cl522, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl518])).
% 14.02/2.62 thf(zip_derived_cl1340, plain,
% 14.02/2.62 (( (familiar @ n5 @ n6) | (familiar @ n6 @ n1) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl1338, zip_derived_cl30, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl10497, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n2) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl522, zip_derived_cl1340])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl10498, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n5) | (familiar @ n1 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10497, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl457, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n5) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_3_1, axiom, (not_equal @ n3 @ n1)).
% 14.02/2.62 thf(zip_derived_cl16, plain, ( (not_equal @ n3 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_1])).
% 14.02/2.62 thf(zip_derived_cl123, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl422, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl123])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl427, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n3 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl434, plain,
% 14.02/2.62 (( (familiar @ n3 @ n2)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (not_equal @ n3 @ n2)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl427])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl17, plain, ( (not_equal @ n3 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_2])).
% 14.02/2.62 thf(zip_derived_cl436, plain,
% 14.02/2.62 (( (familiar @ n3 @ n2) | (familiar @ n3 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl434, zip_derived_cl2, zip_derived_cl1,
% 14.02/2.62 zip_derived_cl17])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl452, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl515, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl452])).
% 14.02/2.62 thf(zip_derived_cl519, plain,
% 14.02/2.62 (( (familiar @ n3 @ n1)
% 14.02/2.62 | ~ (familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl515])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl16, plain, ( (not_equal @ n3 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_1])).
% 14.02/2.62 thf(zip_derived_cl135, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl1315, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl135])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl1320, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl1315, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl1328, plain,
% 14.02/2.62 ((~ (not_equal @ n5 @ n3)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl1320])).
% 14.02/2.62 thf(zip_derived_cl28, plain, ( (not_equal @ n5 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_3])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl1330, plain,
% 14.02/2.62 (( (familiar @ n5 @ n3) | (familiar @ n3 @ n1) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl1328, zip_derived_cl28, zip_derived_cl2,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl10245, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n2) | (familiar @ n3 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl519, zip_derived_cl1330])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl10247, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10245, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl10705, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n6 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl10498, zip_derived_cl10247])).
% 14.02/2.62 thf(zip_derived_cl10721, plain,
% 14.02/2.62 ((~ (familiar @ n6 @ n3) | (familiar @ n1 @ n2) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl10705])).
% 14.02/2.62 thf(zip_derived_cl10734, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl4340, zip_derived_cl10721])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_6_4, axiom, (not_equal @ n6 @ n4)).
% 14.02/2.62 thf(zip_derived_cl34, plain, ( (not_equal @ n6 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_4])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl24, plain, ( (not_equal @ n4 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_5])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl79, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl109, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n4 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl79, zip_derived_cl3, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl193, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n4)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl109])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl195, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n4)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl6236, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n6 @ n4)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl195])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl6241, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n6 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl6236, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl6256, plain,
% 14.02/2.62 ((~ (not_equal @ n5 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl6241])).
% 14.02/2.62 thf(zip_derived_cl30, plain, ( (not_equal @ n5 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl6258, plain,
% 14.02/2.62 (( (familiar @ n5 @ n6) | (familiar @ n6 @ n4) | (familiar @ n4 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl6256, zip_derived_cl30, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl427, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n3 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl433, plain,
% 14.02/2.62 ((~ (not_equal @ n2 @ n3)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | (familiar @ n2 @ n3)
% 14.02/2.62 | (familiar @ n3 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl427])).
% 14.02/2.62 thf(not_equal_2_3, axiom, (not_equal @ n2 @ n3)).
% 14.02/2.62 thf(zip_derived_cl12, plain, ( (not_equal @ n2 @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_3])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl435, plain,
% 14.02/2.62 (( (familiar @ n2 @ n3) | (familiar @ n3 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl433, zip_derived_cl12, zip_derived_cl2,
% 14.02/2.62 zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl449, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n3) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl435, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl464, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl448, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl498, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl464])).
% 14.02/2.62 thf(zip_derived_cl502, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl498])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl578, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl593, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl578])).
% 14.02/2.62 thf(zip_derived_cl20, plain, ( (not_equal @ n3 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl595, plain,
% 14.02/2.62 (( (familiar @ n3 @ n6) | (familiar @ n6 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl593, zip_derived_cl20, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl1273, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl502, zip_derived_cl595])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl1274, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n3) | (familiar @ n1 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1273, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl449, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n3) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl435, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_4_1, axiom, (not_equal @ n4 @ n1)).
% 14.02/2.62 thf(zip_derived_cl21, plain, ( (not_equal @ n4 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_1])).
% 14.02/2.62 thf(zip_derived_cl123, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n2 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl423, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (person @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl123])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl428, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl438, plain,
% 14.02/2.62 (( (familiar @ n4 @ n2)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (not_equal @ n4 @ n2)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl428])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(not_equal_4_2, axiom, (not_equal @ n4 @ n2)).
% 14.02/2.62 thf(zip_derived_cl22, plain, ( (not_equal @ n4 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_2])).
% 14.02/2.62 thf(zip_derived_cl440, plain,
% 14.02/2.62 (( (familiar @ n4 @ n2) | (familiar @ n4 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl438, zip_derived_cl3, zip_derived_cl1,
% 14.02/2.62 zip_derived_cl22])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl456, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl496, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl456])).
% 14.02/2.62 thf(zip_derived_cl500, plain,
% 14.02/2.62 (( (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl496])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl21, plain, ( (not_equal @ n4 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_1])).
% 14.02/2.62 thf(zip_derived_cl127, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl571, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (person @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl127])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl576, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl571, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl585, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n4)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl576])).
% 14.02/2.62 thf(zip_derived_cl18, plain, ( (not_equal @ n3 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_4])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl587, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n4 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl585, zip_derived_cl18, zip_derived_cl3,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl861, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl500, zip_derived_cl587])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl863, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl861, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl1351, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n6 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1274, zip_derived_cl863])).
% 14.02/2.62 thf(zip_derived_cl1363, plain,
% 14.02/2.62 ((~ (familiar @ n6 @ n4) | (familiar @ n1 @ n2) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl1351])).
% 14.02/2.62 thf(zip_derived_cl6931, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl6258, zip_derived_cl1363])).
% 14.02/2.62 thf(zip_derived_cl861, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl500, zip_derived_cl587])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl862, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl861, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl449, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n3) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl435, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl429, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl424, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl442, plain,
% 14.02/2.62 (( (familiar @ n5 @ n2)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (not_equal @ n5 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl429])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(not_equal_5_2, axiom, (not_equal @ n5 @ n2)).
% 14.02/2.62 thf(zip_derived_cl27, plain, ( (not_equal @ n5 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_2])).
% 14.02/2.62 thf(zip_derived_cl444, plain,
% 14.02/2.62 (( (familiar @ n5 @ n2) | (familiar @ n5 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl442, zip_derived_cl4, zip_derived_cl1,
% 14.02/2.62 zip_derived_cl27])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl460, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl497, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl460])).
% 14.02/2.62 thf(zip_derived_cl501, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl577, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl572, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl589, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl577])).
% 14.02/2.62 thf(zip_derived_cl19, plain, ( (not_equal @ n3 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl591, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5) | (familiar @ n5 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl589, zip_derived_cl19, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl1117, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl501, zip_derived_cl591])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl1119, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1117, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl1237, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl862, zip_derived_cl1119])).
% 14.02/2.62 thf(zip_derived_cl1239, plain,
% 14.02/2.62 ((~ (familiar @ n4 @ n5) | (familiar @ n1 @ n2) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl1237])).
% 14.02/2.62 thf(zip_derived_cl12905, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n3) | (familiar @ n5 @ n6))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl6931, zip_derived_cl1239])).
% 14.02/2.62 thf(zip_derived_cl1117, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl501, zip_derived_cl591])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl1118, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n3) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1117, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl1273, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl502, zip_derived_cl595])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl1275, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1273, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl1282, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl1118, zip_derived_cl1275])).
% 14.02/2.62 thf(zip_derived_cl1284, plain,
% 14.02/2.62 ((~ (familiar @ n5 @ n6) | (familiar @ n1 @ n2) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl1282])).
% 14.02/2.62 thf(zip_derived_cl12906, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl12905, zip_derived_cl1284])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl20, plain, ( (not_equal @ n3 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_6])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl19, plain, ( (not_equal @ n3 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_5])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl74, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl104, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl74, zip_derived_cl2, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl174, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n3 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl104])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl176, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n3 @ X0)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl4702, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | (familiar @ n3 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl176])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4708, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n6))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl4702, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl4722, plain,
% 14.02/2.62 ((~ (not_equal @ n5 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n3 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl4708])).
% 14.02/2.62 thf(zip_derived_cl30, plain, ( (not_equal @ n5 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl4724, plain,
% 14.02/2.62 (( (familiar @ n5 @ n6) | (familiar @ n3 @ n6) | (familiar @ n3 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl4722, zip_derived_cl30, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl428, plain,
% 14.02/2.62 ((~ (not_familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl437, plain,
% 14.02/2.62 ((~ (not_equal @ n2 @ n4)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl428])).
% 14.02/2.62 thf(zip_derived_cl13, plain, ( (not_equal @ n2 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_4])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl439, plain,
% 14.02/2.62 (( (familiar @ n2 @ n4) | (familiar @ n4 @ n1) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl437, zip_derived_cl13, zip_derived_cl3,
% 14.02/2.62 zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl453, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n4) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl460, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl507, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl460])).
% 14.02/2.62 thf(zip_derived_cl511, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl507])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(not_equal_1_4, axiom, (not_equal @ n1 @ n4)).
% 14.02/2.62 thf(zip_derived_cl8, plain, ( (not_equal @ n1 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_4])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl63, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl93, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl63, zip_derived_cl0, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl129, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl93])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl131, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl922, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl131])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl927, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl922, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl939, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl927])).
% 14.02/2.62 thf(zip_derived_cl24, plain, ( (not_equal @ n4 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl941, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5) | (familiar @ n5 @ n1) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl939, zip_derived_cl24, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl10047, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl511, zip_derived_cl941])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl10048, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n4) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10047, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl453, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n2 @ n4) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl464, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl448, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl508, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl464])).
% 14.02/2.62 thf(zip_derived_cl512, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl508])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl131, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl923, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl131])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl928, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl943, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl928])).
% 14.02/2.62 thf(zip_derived_cl25, plain, ( (not_equal @ n4 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl945, plain,
% 14.02/2.62 (( (familiar @ n4 @ n6) | (familiar @ n6 @ n1) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl943, zip_derived_cl25, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl10201, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl512, zip_derived_cl945])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl10203, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10201, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl10231, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl10048, zip_derived_cl10203])).
% 14.02/2.62 thf(zip_derived_cl10235, plain,
% 14.02/2.62 ((~ (familiar @ n5 @ n6) | (familiar @ n1 @ n2) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl10231])).
% 14.02/2.62 thf(zip_derived_cl10241, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl4724, zip_derived_cl10235])).
% 14.02/2.62 thf(zip_derived_cl12906, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl12905, zip_derived_cl1284])).
% 14.02/2.62 thf(zip_derived_cl10047, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl511, zip_derived_cl941])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl10049, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10047, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl12930, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n3 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl12906, zip_derived_cl10049])).
% 14.02/2.62 thf(zip_derived_cl12966, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | ~ (familiar @ n3 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl12930])).
% 14.02/2.62 thf(zip_derived_cl13862, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n4) | (familiar @ n3 @ n6))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl10241, zip_derived_cl12966])).
% 14.02/2.62 thf(zip_derived_cl12906, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl12905, zip_derived_cl1284])).
% 14.02/2.62 thf(zip_derived_cl10203, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10201, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl12931, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n3 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl12906, zip_derived_cl10203])).
% 14.02/2.62 thf(zip_derived_cl12967, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | ~ (familiar @ n3 @ n6) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl12931])).
% 14.02/2.62 thf(zip_derived_cl13863, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl13862, zip_derived_cl12967])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl13864, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl13863, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl13922, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl13864, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl14009, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | ~ (familiar @ n3 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl12906, zip_derived_cl13922])).
% 14.02/2.62 thf(zip_derived_cl14016, plain,
% 14.02/2.62 ((~ (familiar @ n3 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl14009])).
% 14.02/2.62 thf(zip_derived_cl14922, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n1 @ n5) | (familiar @ n4 @ n6))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl10734, zip_derived_cl14016])).
% 14.02/2.62 thf(zip_derived_cl13863, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl13862, zip_derived_cl12967])).
% 14.02/2.62 thf(zip_derived_cl10497, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n2) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl522, zip_derived_cl1340])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl10499, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl10497, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl13886, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl13863, zip_derived_cl10499])).
% 14.02/2.62 thf(zip_derived_cl13917, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | ~ (familiar @ n4 @ n6) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl13886])).
% 14.02/2.62 thf(zip_derived_cl14923, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl14922, zip_derived_cl13917])).
% 14.02/2.62 thf(zip_derived_cl12906, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl12905, zip_derived_cl1284])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl12907, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n3 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl12906, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl12975, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl12907, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl14968, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | ~ (familiar @ n5 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl14923, zip_derived_cl12975])).
% 14.02/2.62 thf(zip_derived_cl14976, plain,
% 14.02/2.62 ((~ (familiar @ n5 @ n3) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl14968])).
% 14.02/2.62 thf(zip_derived_cl15023, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n4 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl4336, zip_derived_cl14976])).
% 14.02/2.62 thf(zip_derived_cl14016, plain,
% 14.02/2.62 ((~ (familiar @ n3 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl14009])).
% 14.02/2.62 thf(zip_derived_cl15142, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n4 @ n5))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15023, zip_derived_cl14016])).
% 14.02/2.62 thf(zip_derived_cl13863, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl13862, zip_derived_cl12967])).
% 14.02/2.62 thf(zip_derived_cl14923, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl14922, zip_derived_cl13917])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl14924, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl14923, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl14979, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n2)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl14924, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15103, plain,
% 14.02/2.62 (( (familiar @ n1 @ n2) | ~ (familiar @ n4 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl13863, zip_derived_cl14979])).
% 14.02/2.62 thf(zip_derived_cl15110, plain,
% 14.02/2.62 ((~ (familiar @ n4 @ n5) | (familiar @ n1 @ n2))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl15103])).
% 14.02/2.62 thf(zip_derived_cl15143, plain, ( (familiar @ n1 @ n2)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15142, zip_derived_cl15110])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl15, plain, ( (not_equal @ n2 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_6])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl14, plain, ( (not_equal @ n2 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_2_5])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl69, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl99, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl69, zip_derived_cl1, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl154, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n2 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl99])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl156, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n2 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl3457, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl156])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl3463, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl3457, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl3477, plain,
% 14.02/2.62 ((~ (not_equal @ n5 @ n6)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl3463])).
% 14.02/2.62 thf(zip_derived_cl30, plain, ( (not_equal @ n5 @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_6])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl3479, plain,
% 14.02/2.62 (( (familiar @ n5 @ n6) | (familiar @ n2 @ n6) | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl3477, zip_derived_cl30, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl8, plain, ( (not_equal @ n1 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_1_4])).
% 14.02/2.62 thf(zip_derived_cl128, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (not_equal @ n1 @ X0)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (not_familiar @ n3 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl647, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl128])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl653, plain,
% 14.02/2.62 ((~ (not_familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl647, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl661, plain,
% 14.02/2.62 ((~ (not_equal @ n3 @ n4)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | (familiar @ n3 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl653])).
% 14.02/2.62 thf(zip_derived_cl18, plain, ( (not_equal @ n3 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_4])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl663, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n1 @ n4) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl661, zip_derived_cl18, zip_derived_cl3,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl698, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl748, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl663, zip_derived_cl698])).
% 14.02/2.62 thf(zip_derived_cl753, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl748])).
% 14.02/2.62 thf(zip_derived_cl941, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5) | (familiar @ n5 @ n1) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl939, zip_derived_cl24, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl11153, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl753, zip_derived_cl941])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl11154, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n3) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11153, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl663, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n1 @ n4) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl661, zip_derived_cl18, zip_derived_cl3,
% 14.02/2.62 zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl704, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n3 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl596, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl749, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n6 @ n1)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl663, zip_derived_cl704])).
% 14.02/2.62 thf(zip_derived_cl754, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 14.02/2.62 thf(zip_derived_cl945, plain,
% 14.02/2.62 (( (familiar @ n4 @ n6) | (familiar @ n6 @ n1) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl943, zip_derived_cl25, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl11203, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl754, zip_derived_cl945])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl11205, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11203, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl11288, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4)
% 14.02/2.62 | ~ (familiar @ n5 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl11154, zip_derived_cl11205])).
% 14.02/2.62 thf(zip_derived_cl11307, plain,
% 14.02/2.62 ((~ (familiar @ n5 @ n6) | (familiar @ n1 @ n4) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl11288])).
% 14.02/2.62 thf(zip_derived_cl11320, plain,
% 14.02/2.62 (( (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl3479, zip_derived_cl11307])).
% 14.02/2.62 thf(zip_derived_cl15143, plain, ( (familiar @ n1 @ n2)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15142, zip_derived_cl15110])).
% 14.02/2.62 thf(zip_derived_cl11153, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl753, zip_derived_cl941])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl11155, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11153, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15168, plain,
% 14.02/2.62 ((~ (familiar @ n2 @ n5) | (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15143, zip_derived_cl11155])).
% 14.02/2.62 thf(zip_derived_cl15403, plain,
% 14.02/2.62 (( (familiar @ n1 @ n4) | (familiar @ n1 @ n3) | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl11320, zip_derived_cl15168])).
% 14.02/2.62 thf(zip_derived_cl15143, plain, ( (familiar @ n1 @ n2)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15142, zip_derived_cl15110])).
% 14.02/2.62 thf(zip_derived_cl11205, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n4)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11203, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15169, plain,
% 14.02/2.62 ((~ (familiar @ n2 @ n6) | (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15143, zip_derived_cl11205])).
% 14.02/2.62 thf(zip_derived_cl15404, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15403, zip_derived_cl15169])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl15405, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15404, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl15441, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15405, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15542, plain,
% 14.02/2.62 ((~ (familiar @ n2 @ n4) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15143, zip_derived_cl15441])).
% 14.02/2.62 thf(zip_derived_cl16385, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | (familiar @ n1 @ n3) | (familiar @ n4 @ n6))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl11869, zip_derived_cl15542])).
% 14.02/2.62 thf(zip_derived_cl15404, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15403, zip_derived_cl15169])).
% 14.02/2.62 thf(zip_derived_cl11455, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n5) | (familiar @ n6 @ n1))),
% 14.02/2.62 inference('clc', [status(thm)], [zip_derived_cl770, zip_derived_cl1340])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl11457, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n1 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl11455, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15420, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n4 @ n6)
% 14.02/2.62 | (familiar @ n1 @ n3)
% 14.02/2.62 | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15404, zip_derived_cl11457])).
% 14.02/2.62 thf(zip_derived_cl15437, plain,
% 14.02/2.62 (( (familiar @ n1 @ n5) | ~ (familiar @ n4 @ n6) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl15420])).
% 14.02/2.62 thf(zip_derived_cl16386, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16385, zip_derived_cl15437])).
% 14.02/2.62 thf(zip_derived_cl15143, plain, ( (familiar @ n1 @ n2)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15142, zip_derived_cl15110])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl15144, plain, ( (familiar @ n2 @ n1)),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15143, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl27, plain, ( (not_equal @ n5 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_2])).
% 14.02/2.62 thf(zip_derived_cl151, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl2375, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n2)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl151])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl2380, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n5 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl2375, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl2392, plain,
% 14.02/2.62 ((~ (not_equal @ n4 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl2380])).
% 14.02/2.62 thf(zip_derived_cl24, plain, ( (not_equal @ n4 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_5])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl2394, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5) | (familiar @ n5 @ n2) | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl2392, zip_derived_cl24, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl2701, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n5)
% 14.02/2.62 | ~ (familiar @ n2 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl2394, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl15193, plain,
% 14.02/2.62 ((~ (familiar @ n1 @ n5) | (familiar @ n4 @ n5) | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15144, zip_derived_cl2701])).
% 14.02/2.62 thf(zip_derived_cl16411, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n2 @ n4) | (familiar @ n4 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16386, zip_derived_cl15193])).
% 14.02/2.62 thf(zip_derived_cl15542, plain,
% 14.02/2.62 ((~ (familiar @ n2 @ n4) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl15143, zip_derived_cl15441])).
% 14.02/2.62 thf(zip_derived_cl16495, plain,
% 14.02/2.62 (( (familiar @ n4 @ n5) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16411, zip_derived_cl15542])).
% 14.02/2.62 thf(zip_derived_cl15404, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n4))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15403, zip_derived_cl15169])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl15406, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 ( (familiar @ n1 @ n3)
% 14.02/2.62 | ~ (familiar @ n4 @ X0)
% 14.02/2.62 | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15404, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl16527, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | ~ (familiar @ n5 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16495, zip_derived_cl15406])).
% 14.02/2.62 thf(zip_derived_cl16532, plain,
% 14.02/2.62 ((~ (familiar @ n5 @ n1) | (familiar @ n1 @ n3))),
% 14.02/2.62 inference('simplify', [status(thm)], [zip_derived_cl16527])).
% 14.02/2.62 thf(zip_derived_cl16386, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n1 @ n5))),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16385, zip_derived_cl15437])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl16387, plain,
% 14.02/2.62 (( (familiar @ n1 @ n3) | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16386, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl16553, plain, ( (familiar @ n1 @ n3)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16532, zip_derived_cl16387])).
% 14.02/2.62 thf(zip_derived_cl15144, plain, ( (familiar @ n2 @ n1)),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15143, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl15189, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n1 @ X0) | ~ (familiar @ X0 @ n2))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15144, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl16572, plain, (~ (familiar @ n3 @ n2)),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16553, zip_derived_cl15189])).
% 14.02/2.62 thf(zip_derived_cl16618, plain,
% 14.02/2.62 (( (familiar @ n3 @ n6) | (familiar @ n2 @ n6))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl3568, zip_derived_cl16572])).
% 14.02/2.62 thf(zip_derived_cl16553, plain, ( (familiar @ n1 @ n3)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16532, zip_derived_cl16387])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl16555, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n3 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16553, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl16953, plain,
% 14.02/2.62 (( (familiar @ n2 @ n6) | ~ (familiar @ n6 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16618, zip_derived_cl16555])).
% 14.02/2.62 thf(zip_derived_cl15143, plain, ( (familiar @ n1 @ n2)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl15142, zip_derived_cl15110])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl15145, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n2 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15143, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl17227, plain, (~ (familiar @ n6 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16953, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_6_5, axiom, (not_equal @ n6 @ n5)).
% 14.02/2.62 thf(zip_derived_cl35, plain, ( (not_equal @ n6 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_5])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl81, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl111, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n5 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl81, zip_derived_cl4, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl201, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n5)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl111])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl203, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n5)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n5)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl6541, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n6 @ n5)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl203])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl6546, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6)
% 14.02/2.62 | (familiar @ n5 @ n1)
% 14.02/2.62 | (familiar @ n6 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl6541, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl17, plain, ( (not_equal @ n3 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_2])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl99, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n2)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl69, zip_derived_cl1, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl153, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl99])).
% 14.02/2.62 thf(zip_derived_cl1, plain, ( (person @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_2])).
% 14.02/2.62 thf(zip_derived_cl155, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | ~ (not_familiar @ n5 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl3229, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl155])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl3234, plain,
% 14.02/2.62 ((~ (not_familiar @ n5 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl3229, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl3243, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (not_equal @ n3 @ n5)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl3234])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl19, plain, ( (not_equal @ n3 @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_5])).
% 14.02/2.62 thf(zip_derived_cl3245, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5) | (familiar @ n3 @ n2) | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl3243, zip_derived_cl2, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl19])).
% 14.02/2.62 thf(zip_derived_cl16572, plain, (~ (familiar @ n3 @ n2)),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16553, zip_derived_cl15189])).
% 14.02/2.62 thf(zip_derived_cl16614, plain,
% 14.02/2.62 (( (familiar @ n3 @ n5) | (familiar @ n2 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl3245, zip_derived_cl16572])).
% 14.02/2.62 thf(zip_derived_cl16555, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n3 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16553, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl16905, plain,
% 14.02/2.62 (( (familiar @ n2 @ n5) | ~ (familiar @ n5 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16614, zip_derived_cl16555])).
% 14.02/2.62 thf(zip_derived_cl15145, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n2 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15143, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl17186, plain, (~ (familiar @ n5 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16905, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl17202, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6) | (familiar @ n6 @ n5))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl6546, zip_derived_cl17186])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl34, plain, ( (not_equal @ n6 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_4])).
% 14.02/2.62 thf(zip_derived_cl36, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 ( (familiar @ X0 @ X1)
% 14.02/2.62 | (not_familiar @ X0 @ X1)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | ~ (not_equal @ X0 @ X1))),
% 14.02/2.62 inference('cnf', [status(esa)], [familiar_or_not])).
% 14.02/2.62 thf(zip_derived_cl21, plain, ( (not_equal @ n4 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_4_1])).
% 14.02/2.62 thf(zip_derived_cl52, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | ~ (not_familiar @ X0 @ X2)
% 14.02/2.62 | ~ (not_familiar @ X2 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 14.02/2.62 thf(zip_derived_cl76, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl52])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl106, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_familiar @ X0 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0)
% 14.02/2.62 | (familiar @ n4 @ n1))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl76, zip_derived_cl3, zip_derived_cl0])).
% 14.02/2.62 thf(zip_derived_cl181, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n4)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl106])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl183, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n4)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl5468, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n6 @ n4)
% 14.02/2.62 | ~ (person @ n6))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl183])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl5473, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n6 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl5468, zip_derived_cl5])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(zip_derived_cl17, plain, ( (not_equal @ n3 @ n2)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_2])).
% 14.02/2.62 thf(zip_derived_cl151, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n2)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | ~ (not_familiar @ n4 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1])).
% 14.02/2.62 thf(zip_derived_cl2373, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | ~ (person @ n3))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl151])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl2378, plain,
% 14.02/2.62 ((~ (not_familiar @ n4 @ n3)
% 14.02/2.62 | (familiar @ n2 @ n4)
% 14.02/2.62 | (familiar @ n3 @ n2))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl2373, zip_derived_cl2])).
% 14.02/2.62 thf(zip_derived_cl2387, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4)
% 14.02/2.62 | ~ (person @ n3)
% 14.02/2.62 | ~ (person @ n4)
% 14.02/2.62 | ~ (not_equal @ n3 @ n4)
% 14.02/2.62 | (familiar @ n3 @ n2)
% 14.02/2.62 | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl2378])).
% 14.02/2.62 thf(zip_derived_cl2, plain, ( (person @ n3)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_3])).
% 14.02/2.62 thf(zip_derived_cl3, plain, ( (person @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_4])).
% 14.02/2.62 thf(zip_derived_cl18, plain, ( (not_equal @ n3 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_3_4])).
% 14.02/2.62 thf(zip_derived_cl2389, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n3 @ n2) | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl2387, zip_derived_cl2, zip_derived_cl3,
% 14.02/2.62 zip_derived_cl18])).
% 14.02/2.62 thf(zip_derived_cl16572, plain, (~ (familiar @ n3 @ n2)),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16553, zip_derived_cl15189])).
% 14.02/2.62 thf(zip_derived_cl16610, plain,
% 14.02/2.62 (( (familiar @ n3 @ n4) | (familiar @ n2 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl2389, zip_derived_cl16572])).
% 14.02/2.62 thf(zip_derived_cl16555, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n3 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl16553, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl16861, plain,
% 14.02/2.62 (( (familiar @ n2 @ n4) | ~ (familiar @ n4 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl16610, zip_derived_cl16555])).
% 14.02/2.62 thf(zip_derived_cl15145, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n2 @ X0) | ~ (familiar @ X0 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl15143, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl17035, plain, (~ (familiar @ n4 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16861, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl17053, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n6) | (familiar @ n6 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl5473, zip_derived_cl17035])).
% 14.02/2.62 thf(zip_derived_cl17265, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (not_equal @ n6 @ n1)
% 14.02/2.62 | (familiar @ n6 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl17053])).
% 14.02/2.62 thf(zip_derived_cl17227, plain, (~ (familiar @ n6 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16953, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl17267, plain, ( (familiar @ n6 @ n4)),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl17265, zip_derived_cl17227, zip_derived_cl5,
% 14.02/2.62 zip_derived_cl0, zip_derived_cl31])).
% 14.02/2.62 thf(zip_derived_cl37, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]: (~ (familiar @ X0 @ X1) | (familiar @ X1 @ X0))),
% 14.02/2.62 inference('cnf', [status(esa)], [symmetry_of_familiar])).
% 14.02/2.62 thf(zip_derived_cl17300, plain, ( (familiar @ n4 @ n6)),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl17267, zip_derived_cl37])).
% 14.02/2.62 thf(zip_derived_cl51, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i]:
% 14.02/2.62 (~ (not_equal @ X1 @ X0)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | ~ (person @ X1)
% 14.02/2.62 | (familiar @ X1 @ X0)
% 14.02/2.62 | (not_familiar @ X0 @ X1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl38])).
% 14.02/2.62 thf(not_equal_5_4, axiom, (not_equal @ n5 @ n4)).
% 14.02/2.62 thf(zip_derived_cl29, plain, ( (not_equal @ n5 @ n4)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_4])).
% 14.02/2.62 thf(zip_derived_cl183, plain,
% 14.02/2.62 (![X0 : $i]:
% 14.02/2.62 (~ (not_equal @ X0 @ n4)
% 14.02/2.62 | ~ (person @ X0)
% 14.02/2.62 | (familiar @ X0 @ n4)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | ~ (not_familiar @ n1 @ X0))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl3])).
% 14.02/2.62 thf(zip_derived_cl5467, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n5 @ n4)
% 14.02/2.62 | ~ (person @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl183])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl5472, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n5)
% 14.02/2.62 | (familiar @ n4 @ n1)
% 14.02/2.62 | (familiar @ n5 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)], [zip_derived_cl5467, zip_derived_cl4])).
% 14.02/2.62 thf(zip_derived_cl17035, plain, (~ (familiar @ n4 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16861, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl17052, plain,
% 14.02/2.62 ((~ (not_familiar @ n1 @ n5) | (familiar @ n5 @ n4))),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl5472, zip_derived_cl17035])).
% 14.02/2.62 thf(zip_derived_cl17261, plain,
% 14.02/2.62 (( (familiar @ n5 @ n1)
% 14.02/2.62 | ~ (person @ n5)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (not_equal @ n5 @ n1)
% 14.02/2.62 | (familiar @ n5 @ n4))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl17052])).
% 14.02/2.62 thf(zip_derived_cl17186, plain, (~ (familiar @ n5 @ n1)),
% 14.02/2.62 inference('clc', [status(thm)],
% 14.02/2.62 [zip_derived_cl16905, zip_derived_cl15145])).
% 14.02/2.62 thf(zip_derived_cl4, plain, ( (person @ n5)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_5])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl26, plain, ( (not_equal @ n5 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_5_1])).
% 14.02/2.62 thf(zip_derived_cl17263, plain, ( (familiar @ n5 @ n4)),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl17261, zip_derived_cl17186, zip_derived_cl4,
% 14.02/2.62 zip_derived_cl0, zip_derived_cl26])).
% 14.02/2.62 thf(zip_derived_cl39, plain,
% 14.02/2.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.02/2.62 (~ (familiar @ X0 @ X1)
% 14.02/2.62 | ~ (familiar @ X2 @ X0)
% 14.02/2.62 | ~ (familiar @ X1 @ X2))),
% 14.02/2.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.02/2.62 thf(zip_derived_cl17281, plain,
% 14.02/2.62 (![X0 : $i]: (~ (familiar @ n4 @ X0) | ~ (familiar @ X0 @ n5))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl17263, zip_derived_cl39])).
% 14.02/2.62 thf(zip_derived_cl17398, plain, (~ (familiar @ n6 @ n5)),
% 14.02/2.62 inference('sup-', [status(thm)],
% 14.02/2.62 [zip_derived_cl17300, zip_derived_cl17281])).
% 14.02/2.62 thf(zip_derived_cl17540, plain, (~ (not_familiar @ n1 @ n6)),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl17202, zip_derived_cl17398])).
% 14.02/2.62 thf(zip_derived_cl17542, plain,
% 14.02/2.62 (( (familiar @ n6 @ n1)
% 14.02/2.62 | ~ (person @ n6)
% 14.02/2.62 | ~ (person @ n1)
% 14.02/2.62 | ~ (not_equal @ n6 @ n1))),
% 14.02/2.62 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl17540])).
% 14.02/2.62 thf(zip_derived_cl5, plain, ( (person @ n6)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_6])).
% 14.02/2.62 thf(zip_derived_cl0, plain, ( (person @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [person_1])).
% 14.02/2.62 thf(zip_derived_cl31, plain, ( (not_equal @ n6 @ n1)),
% 14.02/2.62 inference('cnf', [status(esa)], [not_equal_6_1])).
% 14.02/2.62 thf(zip_derived_cl17544, plain, ( (familiar @ n6 @ n1)),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl17542, zip_derived_cl5, zip_derived_cl0,
% 14.02/2.62 zip_derived_cl31])).
% 14.02/2.62 thf(zip_derived_cl17590, plain, ($false),
% 14.02/2.62 inference('demod', [status(thm)],
% 14.02/2.62 [zip_derived_cl17227, zip_derived_cl17544])).
% 14.02/2.62
% 14.02/2.62 % SZS output end Refutation
% 14.02/2.62
% 14.02/2.62
% 14.02/2.62 % Terminating...
% 14.02/2.68 % Runner terminated.
% 14.02/2.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------